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Finding the Third Proportional to 258,892,128 and 556,204,848

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Solution

The third proportional to 258,892,128 and 556,204,848 is: 1,194,952,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,892,128 : 556,204,848 = 556,204,848 : x
  2. Step 2: Convert to fraction form
    258,892,128/556,204,848 = 556,204,848/x
  3. Step 3: Cross multiply
    258,892,128x = 556,204,848 × 556,204,848
  4. Step 4: Simplify right side
    258,892,128x = 309,363,832,938,703,104
  5. Step 5: Solve for x
    x = 309,363,832,938,703,104/258,892,128
  6. Step 6: Final answer
    x = 1,194,952,644.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.